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arXiv · 1201.6118

Milnor descent for cohesive dg-categories

Oren Ben-Bassat·Jonathan Block
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Abstract

We show that the functor from curved differential graded algebras to differential graded categories, defined by the second author in [B], sends Cartesian diagrams to homotopy Cartesian diagrams, under certain reasonable hypotheses. This is an extension to the arena of dg categories of a construction of projective modules due to Milnor. As an example, we show that the functor satisfies descent for certain partitions of a complex manifold.

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BibTeXRIS

Oren Ben-Bassat, Jonathan Block. 2012-01-30. Milnor descent for cohesive dg-categories. https://doi.org/10.1017/is013007003jkt236

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